Bernsteinsche Potenzreihen

DOI10.4064/SM-19-1-89-94zbMath0091.14506OpenAlexW4230690518MaRDI QIDQ3266076

Werner Meyer-König, K. L. Zeller

Publication date: 1960

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/216971

zbMATH Keywords

probability theory etc.

Related Items (79)

Korovkin type theorem for functions of two variables via lacunary equistatistical convergence ⋮ On a conjecture concerning the sum of the squared Bernstein polynomials ⋮ New Korovkin type theorem for non-tensor Meyer-König and Zeller operators ⋮ Statistical approximation by a modification of \(q\)-Meyer-König and Zeller operators ⋮ On bounded variation functions by general MKZD operators ⋮ The complete asymptotic expansion for the Meyer-König and Zeller operators ⋮ Pointwise approximation by Bézier variant of an operator based on Laguerre polynomials ⋮ Approximation by a generalization of the Jakimovski-Leviatan operators ⋮ Parametric generalization of the Meyer-König-Zeller operators ⋮ Unnamed Item ⋮ Approximation theorems by Meyer-König and Zeller type operators ⋮ Complete asymptotic expansions related to conjecture on a Voronovskaja-type theorem ⋮ The generalization of bivariate MKZ operators by multiple generating functions ⋮ Korovkin-type approximation properties of bivariate \(q\)-Meyer-König and Zeller operators ⋮ Generalized weighted invariant mean based on fractional difference operator with applications to approximation theorems for functions of two variables ⋮ Approximation by Urysohn type Meyer-König and Zeller operators to Urysohn integral operators ⋮ Szász type operators involving Charlier polynomials ⋮ Statistical approximation by Meyer-König and Zeller operators of finite type based on the \(q\)-integers ⋮ On statistical approximation properties of the Kantorovich type Lupaş operators ⋮ Unnamed Item ⋮ Poisson approximation to the binomial distribution: extensions to the convergence of positive operators ⋮ Weighted approximation of functions in \(L_\infty [0,\infty)\) ⋮ Approximation of unbounded functions and applications to representations of semigroups ⋮ A note on the fixed points of positive linear operators ⋮ Jain's operator: A new construction and applications in approximation theory ⋮ Rate of convergence by Kantorovich type operators involving adjoint Bernoulli polynomials ⋮ Uniform approximation of functions by Meyer-König and Zeller operators ⋮ On a convexity problem in connection with some linear operators ⋮ Approximation Properties of Kantorovich Type Modifications of $(p, q)-$Meyer-König-Zeller Operators ⋮ Degree of approximation to function of bounded variation by Bézier variant of MKZ operators. ⋮ Korovkin type Approximation of Abel transforms of q-Meyer-König and Zeller operators ⋮ Elementary hypergeometric functions, Heun functions, and moments of MKZ operators ⋮ Approximation by Meyer-Koenig and Zeller type operators ⋮ Weighted Approximation of Functions by Meyer–König and Zeller Operators of Max-Product Type ⋮ A generalization of an inequality related to a conjecture involving convex functions ⋮ Generalized statistically almost convergence based on the difference operator which includes the \((p,q)\)-gamma function and related approximation theorems ⋮ An elementary function representation of the 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approximation of functions by Bernstein-type operators ⋮ VORONOVSKAYA TYPE RESULTS AND OPERATORS FIXING TWO FUNCTIONS ⋮ Zur Lototsky-Transformation über kompakten Räumen von Wahrscheinlichkeitsmaßen ⋮ An inequality involving Bernstein polynomials and box-convex functions ⋮ \((p,q)\)-gamma operators which preserve \(x^2\) ⋮ Generalization of equi-statistical convergence via weighted lacunary sequence with associated Korovkin and Voronovskaya type approximation theorems ⋮ Rates of approximation of bounded variation functions by two generalized Meyer-König and Zeller type operators ⋮ On Statistical Deferred Weighted $$\mathcal {B}$$ B -Convergence ⋮ Pointwise saturation of positive operators ⋮ Approximation by the Bézier variant of the MKZ-Kantorovich operators in the case \(\alpha < 1\) ⋮ Approximation properties of Szász type operators involving Charlier polynomials ⋮ The generalization of Meyer-König and Zeller operators by generating functions ⋮ Order of approximation by an operator involving biorthogonal polynomials ⋮ A note on q-MKZ operators using generating functions ⋮ Approximation by operators sequence involving a certain class of polynomials ⋮ Some approximation properties of new families of positive linear operators ⋮ The second moment for the Meyer-König and Zeller operators

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